Results 31 to 40 of about 41,112 (147)
Moment problem for symmetric algebras of locally convex spaces
, 2018 It is explained how a locally convex (lc) topology $\tau$ on a real vector space $V$ extends to a locally multiplicatively convex (lmc) topology $\overline{\tau}$ on the symmetric algebra $S(V)$.
Ghasemi, M. +3 more
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Controllability on infinite-dimensional manifolds [PDF]
, 2012 Following the unified approach of A. Kriegl and P.W. Michor (1997) for a treatment of global analysis on a class of locally convex spaces known as convenient, we give a generalization of Rashevsky-Chow's theorem for control systems in regular connected ...
A. Isidori +61 more
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Topological properties and matrix transformations of certain ordered generalized sequence spaces
International Journal of Mathematics and Mathematical Sciences, 1995 In this note, we carry out investigations related to the mixed impact of ordering and topological structure of a locally convex solid Riesz space (X,τ) and a scalar valued sequence space λ, on the vector valued sequence space λ(X) which is formed and ...
Manjul Gupta, Kalika Kaushal
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A formula to calculate the spectral radius of a compact linear operator
International Journal of Mathematics and Mathematical Sciences, 1997 There is a formula (Gelfand's formula) to find the spectral radius of a linear operator defined on a Banach space. That formula does not apply even in normed spaces which are not complete.
Fernando Garibay Bonales +1 more
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Arhangel'ski\u{\i} sheaf amalgamations in topological groups
, 2016 We consider amalgamation properties of convergent sequences in topological groups and topological vector spaces. The main result of this paper is that, for arbitrary topological groups, Nyikos's property $\alpha_{1.5}$ is equivalent to Arhangel'ski\u{\i}'
Tsaban, Boaz, Zdomskyy, Lyubomyr
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The second cohomology of current algebras of general Lie algebras
, 2008 Let $A$ be a unital commutative associative algebra over a field of characteristic zero, $\k$ be a Lie algebra, and $\z$ a vector space, considered as a trivial module of the Lie algebra $\g := A \otimes \k$.
Neeb, Karl-Hermann, Wagemann, Friedrich
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Internal functionals and bundle duals
International Journal of Mathematics and Mathematical Sciences, 1984 If π:E→X is a bundle of Banach spaces, X compact Hausdorff, a fibered space π*:E*→X can be constructed whose stalks are the duals of the stalks of the given bundle and whose sections can be identified with the functionals studied by Seda in [1] and [2]
Joseph W. Kitchen, David A. Robbins
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On order-bounded subsets of locally solid Riesz spaces
, 2015 In a topological Riesz space there are two types of bounded subsets: order bounded subsets and topologically bounded subsets. It is natural to ask (1) whether an order bounded subset is topologically bounded and (2) whether a topologically bounded subset
Hong, Liang
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Heredity in fundamental left complemented algebras [PDF]
Surveys in Mathematics and its Applications, 2016 In the present paper, we introduce the notion of a fundamental complemented linear space, through continuous projections. This notion is hereditary. Relative to this, we prove that if a certain topological algebra is fundamental, then a concrete subspace
Marina Haralampidou +1 more
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New Optimality Conditions for a Nondifferentiable Fractional Semipreinvex Programming Problem
Journal of Applied Mathematics, 2013 We study a nondifferentiable fractional programming problem as follows: (P)minx∈Kf(x)/g(x) subject to x∈K⊆X, hi(x)≤0, i=1,2,…,m, where K is a semiconnected subset in a locally convex topological vector space X, f:K→ℝ, g:K→ℝ+ and hi:K→ℝ, i=1,2,…, m. If
Yi-Chou Chen, Wei-Shih Du
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